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Finding the Fourth Proportional to 2,671.78, 4,006.50 and 1,422.11

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Solution

The fourth proportional to 2,671.78, 4,006.50 and 1,422.11 is: 2,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.78 : 4,006.50 = 1,422.11 : x
  2. Step 2: Convert to fraction form
    2,671.78/4,006.50 = 1,422.11/x
  3. Step 3: Cross multiply
    2,671.78x = 4,006.50 × 1,422.11
  4. Step 4: Simplify right side
    2,671.78x = 5,697,683.72
  5. Step 5: Solve for x
    x = 5,697,683.72/2,671.78
  6. Step 6: Final answer
    x = 2,132.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.